6834797936640 has 1064 divisors, whose sum is σ = 25745796805248. Its totient is φ = 1737763061760.

The previous prime is 6834797936587. The next prime is 6834797936651. The reversal of 6834797936640 is 466397974386.

6834797936640 is a `hidden beast` number, since 6 + 8 + 3 + 479 + 7 + 93 + 6 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 21976842085 + ... + 21976842395.

Almost surely, 2^{6834797936640} is an apocalyptic number.

6834797936640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6834797936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12872898402624).

6834797936640 is an abundant number, since it is smaller than the sum of its proper divisors (18910998868608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6834797936640 is an frugal number, since it uses more digits than its factorization.

6834797936640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 987614208, while the sum is 72.

The spelling of 6834797936640 in words is "six trillion, eight hundred thirty-four billion, seven hundred ninety-seven million, nine hundred thirty-six thousand, six hundred forty".